Factoring GCF from Polynomials

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of two terms, for example, 7x and 35?

Back

Identify the common factors: The GCF of 7x and 35 is 7.

Front

Factor the GCF from the expression: 7x - 35

Back

7(x - 5)

Front

What is the first step in factoring a polynomial?

Back

Identify the GCF of all the terms in the polynomial.

Front

Factor the expression: a^2b^2 + a

Back

a(ab + 1)

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

Front

Factor the expression: 12x + 9

Back

3(4x + 3)

Front

What is the GCF of the terms 12x and 9?

Back

The GCF is 3.

Front

Factor the expression: 36ab^2 - 48a^2b

Back

12ab(3b - 4a)

Front

How do you factor out the GCF from a polynomial?

Back

Divide each term by the GCF and write it outside the parentheses.